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The solution of the differential equatio...

The solution of the differential equation `(1+e^(x))y(dy)/(dx) = e^(x)` when y=1 and x = 0 is

A

`e^(y^(2)//2) = sqrt(e)(1+e^(x))`

B

`e^(y^(2)//2) = e(1+e^(x))`

C

`2.e^(y^(2)//2) = sqrt(e)(1+e^(x))`

D

`2.e^(y^(2)) = e(1+e^(x))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. The equation of the curve through (0, (pi)/(4)) satisfying the differe...

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  3. The solution of the differential equation (1+e^(x))y(dy)/(dx) = e^(x) ...

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  4. The solution of the differential equation (tan y)(dy)/(dx) = sin (x+y)...

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  5. The solution of (x+y)^(2)(dy)/(dx) = a^(2) is

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  6. The solution of (dy)/(dx) = sec(x+y) is

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  7. The solution of sin^(-1)((dy)/(dx)) = y + x is

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  8. Solve (dy)/(dx)=sin(x+y)+cos (x+y)

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  9. The solution of the differential equation (dy)/(dx)=sin(x+y)tan(x+y)-1...

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  10. The value of 'b' such that the solution of x = by (dy)/(dx) represents...

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  11. A curve passes through the poit (5,3) and at any point (x,y) on it the...

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  12. A curve C has the property that if the tangent drawn at any point 'P' ...

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  13. The normal to a curve at P(x,y) meets the x-axis at G. If the distance...

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  14. The normal line to a given curve at each point (x,y) on the curve pass...

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  15. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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  16. The solution of (dy)/(dx) = (y^(2))/(xy - x^(2)) is

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  17. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

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  18. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

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  19. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

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  20. The general solution of the differential equation x^2 y dx - (x^3 + y^...

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